The main goal of the course is twofold: 1) on one side, to develop a different approach to Quantum Mechanics and Quantum Field Theory based on the Path Integral approach and 2) on the other, to understand and be proficient in the renormalization of a theory. This is a fundamental requisite to arrive to any physical result involving loop diagrams. Besides understanding the concept and renormalization procedure we will focus on its interaction with symmetries and we will conclude by establishing the renormalization group equations.
Understand the bases of advanced topics selected at the frontier of high energy physics, astrophysics and cosmology and apply them consistently.
It is recommended to have followed the course of introduction to Quantum Field Theory of the Master, or at least basic courses on Quantum Field Theory during the undergrate courses.